Loop Bound Analysis based on a Combination of Program Slicing, Abstract Interpretation, and Invariant Analysis

Authors Andreas Ermedahl, Christer Sandberg, Jan Gustafsson, Stefan Bygde, Björn Lisper



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Author Details

Andreas Ermedahl
Christer Sandberg
Jan Gustafsson
Stefan Bygde
Björn Lisper

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Andreas Ermedahl, Christer Sandberg, Jan Gustafsson, Stefan Bygde, and Björn Lisper. Loop Bound Analysis based on a Combination of Program Slicing, Abstract Interpretation, and Invariant Analysis. In 7th International Workshop on Worst-Case Execution Time Analysis (WCET'07). Open Access Series in Informatics (OASIcs), Volume 6, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007) https://doi.org/10.4230/OASIcs.WCET.2007.1194

Abstract

Static Worst-Case Execution Time (WCET) analysis
is a technique to derive upper bounds for the execution
times of programs. Such bounds are crucial
when designing and verifying real-time systems. A key
component for static derivation of precise WCET estimates
is upper bounds on the number of times different
loops can be iterated.
In this paper we present an approach for deriving
upper loop bounds based on a combination of standard
program analysis techniques. The idea is to bound the
number of different states in the loop which can influence
the exit conditions. Given that the loop terminates,
this number provides an upper loop bound.
An algorithm based on the approach has been implemented
in our WCET analysis tool SWEET. We evaluate
the algorithm on a number of standard WCET
benchmarks, giving evidence that it is capable to derive
valid bounds for many types of loops.

Subject Classification

Keywords
  • WCET analysis
  • loop-bound analysis
  • program slicing
  • abstract interpretation
  • invariant analysis

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